solve the linear inequality 1/4x - 2 < -1

Answer 1

To solve the linear inequality 1/4x - 2 < -1, we need to isolate the variable x.

Adding 2 to both sides of the inequality, we have:
1/4x - 2 + 2 < -1 + 2
1/4x < 1

Multiplying both sides of the inequality by 4 to eliminate the fraction, we have:
4(1/4x) < 4(1)
x < 4

Hence, the solution to the linear inequality is x < 4.